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This article is cited in 27 scientific papers (total in 28 papers)
On the class field tower
E. S. Golod, I. R. Shafarevich
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Received: 19.12.1963
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E. S. Golod, I. R. Shafarevich, “On the class field tower”, Izv. Akad. Nauk SSSR Ser. Mat., 28:2 (1964), 261–272
Citation in format AMSBIB
\Bibitem{GolSha64}
\by E.~S.~Golod, I.~R.~Shafarevich
\paper On the class field tower
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1964
\vol 28
\issue 2
\pages 261--272
\mathnet{http://mi.mathnet.ru/izv2955}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=161852}
\zmath{https://zbmath.org/?q=an:0136.02602}
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-
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-
R. I. Grigorchuk, “Degrees of growth of finitely generated groups, and the theory of invariant means”, Math. USSR-Izv., 25:2 (1985), 259–300
-
I. V. Andozhskii, V. M. Tsvetkov, “Analytic pro-$p$-groups of rank $3$ and closed pro-$p$-groups of type $(3,4)$”, Math. USSR-Izv., 27:3 (1986), 593–599
-
R. I. Grigorchuk, “On the Hilbert–Poincaré series of graded algebras associated with groups”, Math. USSR-Sb., 66:1 (1990), 211–229
-
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-
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-
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-
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-
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-
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-
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-
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-
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-
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-
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-
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-
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-
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-
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-
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-
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